Pseudo real closed fields, pseudo p-adically closed fields and NTP2

@article{Montenegro2017PseudoRC,
  title={Pseudo real closed fields, pseudo p-adically closed fields and NTP2},
  author={Samaria Montenegro},
  journal={Ann. Pure Appl. Logic},
  year={2017},
  volume={168},
  pages={191-232}
}
Abstract The main result of this paper is a positive answer to the Conjecture 5.1 of [14] by A. Chernikov, I. Kaplan and P. Simon: If M is a PRC field, then T h ( M ) is NTP2 if and only if M is bounded. In the case of PpC fields, we prove that if M is a bounded PpC field, then T h ( M ) is NTP2. We also generalize this result to obtain that, if M is a bounded PRC or PpC field with exactly n orders or p-adic valuations respectively, then T h ( M ) is strong of burden n. This also allows us to… CONTINUE READING
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